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Simplifying -19p + -6(2 + -5p) = 6(p + -4) + -3 -19p + (2 * -6 + -5p * -6) = 6(p + -4) + -3 -19p + (-12 + 30p) = 6(p + -4) + -3 Reorder the terms: -12 + -19p + 30p = 6(p + -4) + -3 Combine like terms: -19p + 30p = 11p -12 + 11p = 6(p + -4) + -3 Reorder the terms: -12 + 11p = 6(-4 + p) + -3 -12 + 11p = (-4 * 6 + p * 6) + -3 -12 + 11p = (-24 + 6p) + -3 Reorder the terms: -12 + 11p = -24 + -3 + 6p Combine like terms: -24 + -3 = -27 -12 + 11p = -27 + 6p Solving -12 + 11p = -27 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -12 + 11p + -6p = -27 + 6p + -6p Combine like terms: 11p + -6p = 5p -12 + 5p = -27 + 6p + -6p Combine like terms: 6p + -6p = 0 -12 + 5p = -27 + 0 -12 + 5p = -27 Add '12' to each side of the equation. -12 + 12 + 5p = -27 + 12 Combine like terms: -12 + 12 = 0 0 + 5p = -27 + 12 5p = -27 + 12 Combine like terms: -27 + 12 = -15 5p = -15 Divide each side by '5'. p = -3 Simplifying p = -3
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